The four quadrants and the sign of coordinates is given as follows:
Quadrant I : (n, n ) both x and y positive.
Quadrant II : ( -n,n) = x negative and y positive.
Quadrant III : ( -n,-n) = both x and y negative.
Quadrant IV: (n, -n) = x positive and y negative.
So Based on the above concept , we can say that vertex C (-n,-n) has both x and y negative and so it lies in quadrant III.
Answer is Vertex C (-n,-n)
The point that Sam's house is located is at (2.5, -2)
<h3 /><h3>Midpoint of coordinate points</h3>
The formula for calculating the midpoint of coordinate is expressed as:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate between their locations at (-4, 4) and (-9, 8)
Determine the midpoint
x = (-4+9)/2
x =5/2 = 2.5
Similarly
y = 4-8/2
y = -4/2
y = -2
Hence the point that Sam's house is located is at (2.5, -2)
Learn more on midpoint here: brainly.com/question/5566419
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Answer:
67,500 m²
Step-by-step explanation:
ASSUMING the fields look like this __________________
| | |
| | | W
|_________|_________|
L
Let L be the length of the combined field and W be the width
2L + 3W = 1800
2L = 1800 - 3W
L = 900 - 1.5W
A = LW
A = (900 - 1.5W)W
A = 900W - 1.5W²
Area will be maximized when the derivative equals zero.
dA/dW = 900 - 3W
0 = 900 - 3W
3W = 900
W = 300 m
L = 900 - 1.5(300)
L = 450 m
A = LW = 450(300) = 135,000 m²
so each sub field is 135000/2 = 67,500 m²
